A mixture of fuel containing 0.480 mol CH4/mol, 0.330 mol C3H8/mol, and 0.190 mo
ID: 895402 • Letter: A
Question
A mixture of fuel containing 0.480 mol CH4/mol, 0.330 mol C3H8/mol, and 0.190 mol C5H12/mol at 57.0°C and 137 kPa (gauge) enters a furnace at a rate of 82.0 L/min where it reacts with 13.1% excess air. Determine the volumetric flow rate of air to the furnace in SCFM (standard cubic feet per minute) by following the steps below. Assume that the gases behave ideally. What is the molar flow rate of fuel entering the furnace?
A) What is the molar flow rate of fuel entering the furnace? ______ Mol Fuel/ Min
B) What is the molar flow rate of CH4 entering the furnace?______ Mol CH4/ Min
C) What is the molar flow rate of C3H8 entering the furnace?_____ Mol C3H8/ Min
D) What is the molar flow rate of C5H12 entering the furnace?_______Mol C5H12/ Min
E) What is the molar flow rate of the theoretical air required for the complete combustion of the fuel?_____Mol Air/ Min
F) What is the actual molar flow rate of air added to the furnace?______ Mol Air/ Min
G) What is the volumetric flow rate of air added to the furnace in standard cubic feet per minute?______SCF/ Min
Explanation / Answer
A: Given temperature,T = 57.0 DegC = 57+273 = 330 K
Pressure, P = 137 KPa = 0.137 MPa = 0.137 MPax(9.869 atm / 1 MPa) = 1.352 atm
V = 82.0 L
Hence moles of gas entering the furance, n = PV/ RT
=> n = (1.352 atmx82.0 L) / (0.0821 L.atm.mol-1K-1x330K) = 4.09 mol / min
Hence molar flow rate of fuel entering the furance = 4.09 mol / min
B. Given the composition of CH4 = 0.480 mol CH4 / mol
Hence molar flow rate of CH4 entering the furance = (0.480 mol CH4 / 1 mol fuel) x 4.09 mol fuel
1.963 mol CH4 / min
C: Given the composition of C3H8 = 0.330 mol CH4 / mol
Hence molar flow rate of CH4 entering the furance = (0.330 mol CH4 / 1 mol fuel) x 4.09 mol fuel
1.35 mol C3H8 / min
D: Given the composition of C5H12 = 0.190 mol CH4 / mol
Hence molar flow rate of C5H12 entering the furance = (0.190 mol CH4 / 1 mol fuel) x 4.09 mol fuel
0.777 mol C5H12 / min
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